Study on Convolute Approximation and its Application to Optimum Seismic Design

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  • たたみ込み理論による近似精度の向上と構造物の最適耐震設計法への応用に関する研究
  • タタミコミ リロン ニ ヨル キンジ セイド ノ コウジョウ ト コウゾウブツ ノ サイテキ タイシン セッケイホウ エノ オウヨウ ニ カンスル ケンキュウ

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The specifications for seismic design of structures were significantly revised after the Hyogokenn-Nanbu Earthquake, and the performance-based design method is being introduced. In this seismic design, it has been mainstream to verify the seismic performance by time history response analysis. Structural optimization has been developed with the approximation concept and approximation concept also has been improved in these years. The RBF approximation method was applied to approximate the constraints of seismic design problem. In this paper, not only the seismic performance but also the repair cost is considered. Both of the constraints and objective function must be approximated. So, the convolute approximation technique is tied to apply to this seismic design problem with several numerical examples.

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